56797875993600 has 3696 divisors, whose sum is σ = 259678227744000. Its totient is φ = 12272752558080.

The previous prime is 56797875993583. The next prime is 56797875993643. The reversal of 56797875993600 is 639957879765.

56797875993600 is a `hidden beast` number, since 5 + 6 + 7 + 97 + 87 + 5 + 99 + 360 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 56797875993600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 121622860567 + ... + 121622861033.

Almost surely, 2^{56797875993600} is an apocalyptic number.

56797875993600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56797875993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129839113872000).

56797875993600 is an abundant number, since it is smaller than the sum of its proper divisors (202880351750400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56797875993600 is an equidigital number, since it uses as much as digits as its factorization.

56797875993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 5401015200, while the sum is 81.

The spelling of 56797875993600 in words is "fifty-six trillion, seven hundred ninety-seven billion, eight hundred seventy-five million, nine hundred ninety-three thousand, six hundred".